Q. 35 - Calculus

Question

Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form. 

$\frac{\infty }{0^{+}}$

Step-by-Step Solution

Answer

The given limit form is not indeterminate and the behavior of a limit of the form $\frac{\infty }{0^{+}} \mathrm{must} \mathrm{be} \infty .$

Step 1. Given Information.

The given limit form is $\frac{\infty }{0^{+}}.$

Step 2. Determine whether the limit forms are indeterminate or not indeterminate.

The given limit forms are not indeterminate because there are only seven indeterminate forms in which the given limit form is not present. 

Step 3. Describe the behavior of a limit.

The behavior of the limit in the form of $\frac{\infty }{0^{+}} \mathrm{must} \mathrm{be} \infty .$